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olga nikolaevna [1]
3 years ago
6

A ballroom in a hotel has the shape shown in the diagram. The hotel manager needs to determine how much carpet is needed to reca

rpet this area. All angles are right angles. The area of the ballroom is

Mathematics
2 answers:
Allisa [31]3 years ago
8 0
I think the answer is 72yd^2
Aleonysh [2.5K]3 years ago
3 0
We can separate the shape into a rectangle and a square
the area of the rectangle :
3 \times 12  = 36
the area of the square:
{6}^{2}  = 36
the area of the whole shape:
36 + 36 = 72
hope this helps
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If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?
Helen [10]

In case you're not already aware, the expression \frac{f(x+h)-f(x)}h is called the "difference quotient" and represents the average rate of change of a function f over an interval [x,x+h].

For the function f(x)=x^2+3x+4, by substituting x+h we get

f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2

Then the difference quotient is

\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h

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5 0
3 years ago
Select the correct answer.
givi [52]

Answer:

B

Step-by-step explanation:

The cube of twice a number =

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7 0
2 years ago
For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
Hitman42 [59]

answer:

\frac{4}{9}


explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

\frac{16}{36} = \frac{4}{9}

--

if this helped, please consider giving brainliest !

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